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14112005130 = 232513129137
BaseRepresentation
bin11010010010010010…
…00001110000001010
31100102111020010201200
431021021001300022
5212400133131010
610252153125030
71006465031046
oct151111016012
940374203650
1014112005130
115a9194a363
12289a0b9776
13143b896ac2
1497c311026
15578da9cc0
hex349241c0a

14112005130 has 72 divisors (see below), whose sum is σ = 36977483556. Its totient is φ = 3734065920.

The previous prime is 14112005111. The next prime is 14112005161. The reversal of 14112005130 is 3150021141.

14112005130 is a `hidden beast` number, since 1 + 411 + 200 + 51 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11850717321 + 2261287809 = 108861^2 + 47553^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1539922 + ... + 1549058.

Almost surely, 214112005130 is an apocalyptic number.

14112005130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14112005130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488741778).

14112005130 is an abundant number, since it is smaller than the sum of its proper divisors (22865478426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14112005130 is a wasteful number, since it uses less digits than its factorization.

14112005130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 14112005130 its reverse (3150021141), we get a palindrome (17262026271).

The spelling of 14112005130 in words is "fourteen billion, one hundred twelve million, five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 9137 11790 17161 18274 27411 34322 45685 51483 54822 82233 85805 91370 102966 137055 154449 164466 171610 257415 274110 308898 411165 514830 772245 822330 1196947 1544490 2393894 3590841 5984735 7181682 10772523 11969470 17954205 21545046 35908410 53862615 107725230 156800057 313600114 470400171 784000285 940800342 1411200513 1568000570 2352000855 2822401026 4704001710 7056002565 14112005130